# Calc 3 Exam 1

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 Author: squeke22 ID: 236147 Filename: Calc 3 Exam 1 Updated: 2013-09-21 14:28:14 Tags: Exam Folders: Description: vectors and three dimensional shapes Show Answers:

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1. Distance Formula
d=
2. sphere of radius r and center (h,j,k)
3. equation of a plane
4. standard basis vectors
• i= <1,0,0>
• j= <0,1,0>
• k= <0,0,1>
5. unit vector
a vector of length 1
6. Dot Product

7. When are two vectors parallel to each other?
When they are scalar multiples
8. When are two vectors orthoganal or perpendicular to each other?
When their dot products is zero
9. what is the equations of
10. Scalar Projection
11. what does the cross product help to find?
the area
12. what is the product of a cross product?
a vector perpendicular to both a and b
13. Dot product produces a?
scalar
14. Cross product produces a?
vector
15. Vector equation for a line
• is the point
• is the vector
16. equation of a plane

17. Two things needed to produce an equation of a line
• point
• parallel vector
18. Two things needed to produce a plane
• point
• perpendicular vector
19. Ellipsoid
20. Elliptic Paraboloid
21. Hyperboloid on one sheet
22. Hyperboloid on two sheets
23. Cone
24. hyperbolic paraboloid
25. Define space curve
any curve in space
26. formula for a helix

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